Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (6): 2305-2316.

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General Results on Precise Asymptotics for Complete Integral Convergence under Sublinear Expectation Space

Dandan Fei1,2, Zongkui Fu2,*()   

  1. 1 School of Mathematics and Statistics, Xinyang University, Henan Xinyang 464000
    2 School of Mathematics and Statistics, Xinyang Normal University, Henan Xinyang 464000
  • Received:2025-07-16 Revised:2025-10-10 Online:2026-12-26 Published:2026-08-14
  • Contact: Zongkui Fu E-mail:gut_fuzongkui@163.com
  • Supported by:
    Key Scientific Research Project of Higher Education Institutions in Henan Province(25B110025);Xinyang Normal University Doctoral Research Startup Fund(32578);Xinyang Normal University Major Pre-research of Natural Sciences(5250043)

Abstract:

Let $\{X,X_n;n\geq 1\}$ be a sequence of independent and identically distributed random variables under sublinear expectation space, by using the convergence of independent sequences and the capacity inequality, we establish the general results on precise asymptotics for complete integral convergence, which improve and generalize the existing results.

Key words: sublinear expectation space, precise asymptotics, complete integral convergence

CLC Number: 

  • O211.4
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